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Finding the Fourth Proportional to 7,461.28, 10,283.88 and 5,099.32

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Solution

The fourth proportional to 7,461.28, 10,283.88 and 5,099.32 is: 7,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.28 : 10,283.88 = 5,099.32 : x
  2. Step 2: Convert to fraction form
    7,461.28/10,283.88 = 5,099.32/x
  3. Step 3: Cross multiply
    7,461.28x = 10,283.88 × 5,099.32
  4. Step 4: Simplify right side
    7,461.28x = 52,440,794.96
  5. Step 5: Solve for x
    x = 52,440,794.96/7,461.28
  6. Step 6: Final answer
    x = 7,028.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.